Consider the discussion in Section 1.3 of statistical multiplexing in which an example is provided with a I Mbps link. Users are generating data at a rate of 100 kbps when busy, but are busy generating data only with probability p =0.1. Suppose that the I Mbps link is replaced by a I Gbps link.
a. What is N, the maximum number of users that can be supported simultaneously under circuit switching?
b. Now consider packet switching and a user population of M users. Give a formula (in terms of p , M, N) for the probability that more than N users are sending data.